A) 140
B) 196
C) 280
D) 346
Correct Answer: B
Solution :
The number of choices available to him \[{{=}^{5}}{{C}_{4}}{{\times }^{8}}{{C}_{6}}{{+}^{5}}{{C}_{5}}{{\times }^{8}}{{C}_{5}}\] \[=\frac{5!}{4!1!}\times \frac{8!}{6!2!}+\frac{5!}{5!0!}\times \frac{8!}{5!3!}\] \[=5\times \frac{8\times 7}{2}\,+1\times \,\frac{8\times 7\times 6}{3\times 2}\] \[=5\times 4\times 7+8\times 7\] \[=140+56=196\]
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